What is factor z^2+10z+21 ?

The solution to factor z^2+10z+21 is (z+3)(z+7)

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factor z^2+10z+21

factor

z^{2} + 10 z + 21

(z + 3) (z + 7)

Solution steps

z^{2} + 10 z + 21

Break the expression into groups

= (z^{2} + 3 z) + (7 z + 21)

Factor out

z

from

z^{2} + 3 z : z (z + 3)

Factor out

7

from

7 z + 21 : 7 (z + 3)

= z (z + 3) + 7 (z + 3)

Factor out common term

z + 3

= (z + 3) (z + 7)

k^{2} - 6 k + 8

2 x - \frac{9}{x - 3} > x - \frac{5}{x - 3}

57

5 x^{2} - 7 = 60

y^{2} + y - 42